Append keeps on appending the same item, does not append the right ones, Python

This is what I have imported:

import random
import matplotlib.pyplot as plt
from math import log, e, ceil, floor
import numpy as np
from numpy import arange,array
import pdb
from random import randint

Here I define the function matrix(p,m)

def matrix(p,m):            # A matrix with zeros everywhere, except in every entry in the middle of the row
    v = [0]*m
    v[(m+1)/2 - 1] = 1
    vv = array([v,]*p)
    return vv

ct = np.zeros(5)            # Here, I choose 5 cause I wanted to work with an example, but should be p in general  

Here I define MHops which basically takes the dimensions of the matrix, the matrix and the vector ct and gives me a new matrix mm and a new vector ct

def MHops(p,m,mm,ct):

k = 0
while k < p :                 # This 'spans' the rows
    i = 0
    while i < m :             # This 'spans' the columns
        if mm[k][i] == 0 :
            i+=1
        else:
            R = random.random()
            t = -log(1-R,e)              # Calculate time of the hopping
            ct[k] =  ct[k] + t
            r = random.random()
            if  0 <= r < 0.5 :              # particle hops right
                if 0 <= i < m-1:
                    mm[k][i] = 0
                    mm[k][i+1] = 1
                    break
                else: 
                    break           # Because it is at the boundary
            else:                            # particle hops left 
                if 0 < i <=m-1:    
                    mm[k][i] = 0
                    mm[k][i-1] = 1
                    break
                else:              # Because it is at the boundary
                    break
            break
    k+=1    
return (mm,ct)               # Gives me the new matrix showing the new position of the particles and a new vector of times, showing the times taken by each particle to hop

Now what I wanna do is iterating this process, but I wanna be able to visualize every step in a list. In short what I am doing is: 1. creating a matrix representing a lattice, where 0 means there is no particle in that slot and 1 means there is a particle there. 2. create a function MHops which simulate a random walk of one step and gives me the new matrix and a vector ct which shows the times at which the particles move.

Now I want to have a vector or an array where I have 2*n objects, i.e. the matrix mm and the vector ct for n iterations. I want the in a array, list or something like this cause I need to use them later on.

Here starts my problem:

I create an empty list, I use append to append items at every iteration of the while loop. However the result that I get is a list d with n equal objects coming from the last iteration!

Hence my function for the iteration is the following:

def rep_MHops(n,p,m,mm,ct):
    mat = mm
    cct = ct
    d = []
    i = 0
    while i < n :
        y = MHops(p,m,mat,cct)       # Calculate the hop, so y is a tuple y = (mm,ct)
        mat = y[0]                 # I reset mat and cct so that for the next iteration, I go further
        cct = y[1]
        d.append(mat)
        d.append(cct)
        i+=1
    return d


z = rep_MHops(3,5,5,matrix(5,5),ct)      #If you check this, it doesn't work
print z

However it doesn't work, I don't understand why. What I am doing is using MHops, then I want to set the new matrix and the new vector as those in the output of MHops and doing this again. However if you run this code, you will see that v works, i.e. the vector of the times increases and the matrix of the lattice change, however when I append this to d, d is basically a list of n equal objects, where the object are the last iteration.

What is my mistake? Furthermore if you have any coding advice for this code, they would be more than welcome, I am not sure this is an efficient way.

Just to let you understand better, I would like to use the final vector d in another function where first of all I pick a random time T, then I would basically check every odd entry (every ct) and hence check every entry of every ct and see if these numbers are less than or equal to T. If this happens, then the movement of the particle happened, otherwise it didn't. From this then I will try to visualize with matpotlibt the result with an histogram or something similar.

Is there anyone who knows how to run this kind of simulation in matlab? Do you think it would be easier?